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Finding the Third Proportional to 68,475 and 102,874.50

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Solution

The third proportional to 68,475 and 102,874.50 is: 154,555.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,475 : 102,874.50 = 102,874.50 : x
  2. Step 2: Convert to fraction form
    68,475/102,874.50 = 102,874.50/x
  3. Step 3: Cross multiply
    68,475x = 102,874.50 × 102,874.50
  4. Step 4: Simplify right side
    68,475x = 10,583,162,750.25
  5. Step 5: Solve for x
    x = 10,583,162,750.25/68,475
  6. Step 6: Final answer
    x = 154,555.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.